Humanities

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Question #60683

1 Answer

(note: #y# is equivalent to #p(x)# for this question)
y-intercept #=6#
x-intercepts #=-2 and -3#

Explanation:

The y-intercept is the value of y (or as in the question #p(x)# where the graph of the equation crosses the y-axis. This is the point on the graph where #x=0# (since #x=0# for all points on the y-axis).#color(white)("XXXX")##y = (0)^2 + 5(0) + 6 = 6#

The x-intercepts similarly are the values of #x# when # y# (or #p(x)#) #=0##color(white)("XXXX")##0 = x^2+5x+6#